Results 41 to 50 of about 129 (75)
Optimal Lower Generalized Logarithmic Mean Bound for the Seiffert Mean
Journal of Applied Mathematics, Volume 2013, Issue 1, 2013., 2013 We present the greatest value p such that the inequality P(a, b) > Lp(a, b) holds for all a, b > 0 with a ≠ b, where P(a, b) and Lp(a, b) denote the Seiffert and pth generalized logarithmic means of a and b, respectively.
Ying-Qing Song +4 more
wiley +1 more source
Inequalities of Hadamard's Type for Lipschitzian Mappings and Their Applications
, 2000 In this paper, we give some inequalities of Hadamard's type for M-Lipschitzian functions. Some applications which are connected with arithmetic mean, geometric mean, harmonic mean, logarithmical mean, identric mean, etc., for two positive numbers are ...
Dragomir, S.S., Kim, S.S., Cho, Y.J.
core +1 more source
, 1994 A monotone form of L′Hospital′s rule is obtained and applied to derive inequalities between the arithmetic-geometric mean of Gauss, the logarithmic mean, and Stolarsky′s identric mean.
Vamanamurthy, M.K., Vuorinen, M.
core +1 more source
GEOMETRIC THEOREMS, DIOPHANTINE EQUATIONS, AND ARITHMETIC FUNCTIONS [PDF]
, 2002 This book contains short notes or articles, as well as studies on several topics of Geometry and Number theory. The material is divided into ve chapters: Geometric theorems; Diophantine equations; Arithmetic functions; Divisibility properties of numbers ...
Sándor, József
core +1 more source
An Optimal Two Parameter Bounds for the Identric Mean
, 2012 In this note we obtain sharp bounds for the identric mean in terms of a two parameter family of means. Our results generalize and extend recent bounds due to Y. M. Chu & al. (2011), and to M.-K. Wang & al. (2012).
openaire +2 more sources
Logarithmically completely monotonic functions relating to the gamma function
, 2006 In this paper, the logarithmically complete monotonicity of the function exΓ(x+β)/xx+β−α in (0,∞) for α∈R and β⩾0 is considered and the corresponding result by G.D. Anderson, R.W. Barnard, K.C. Richards, M.K. Vamanamurthy and M.
Qi, Feng, Chen, Chao-Ping
core +1 more source
On Certain Inequalities for Means, III
, 1999 A sequential method is applied to obtain inequalities between a mean introduced by H.-J. Seiffert [9], and other means, including the logarithmic mean, the identric mean and the arithmetic-geometric mean of ...
Sándor, József
core
An Inequality of Grüss Type for Riemann-Stieltjes Integral and Applications for Special Means
, 1998 In this paper we derive a new inequality of Grüss' type for Riemann-Stieltjes integral and apply it for special means (logarithmic mean, identric mean, etc...)
Fedotov, I, Dragomir, Sever S
core
An Inequality of Ostrowski Type For Mappings Whose Second Derivatives are Bounded and Applications
, 1998 An inequality of Ostrowski type for twice differentiable mappings whose derivatives are bounded and applications in Numerical Integration and for special means (logarithmic mean, identric mean, p-logarithmic mean etc...) are ...
Roumeliotis, John +5 more
core
, 1998 An inequaltiy of Ostrowski type for twice differentiable mappings whose derivatives belong to L₁ [a,b] and applications in Numerical Integration and for special means (logarithmic mean, identric mean, p-logarithmic mean etc...) are ...
Roumeliotis, John +2 more
core